Problem

Derive the element stiffness matrix for the beam element in Figure 4–1 if the rotational...

Derive the element stiffness matrix for the beam element in Figure 4–1 if the rotational degrees of freedom are assumed positive clockwise instead of counterclockwise. Compare the two different nodal sign conventions and discuss. Compare the resulting stiffness matrix to Eq. (4.1.14).

Figure 4–1 Beam element with positive nodal displacements, rotations, forces, and moments

Eq. (4.1.14).

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